Mathlib Map

Theorems · Definition · order theory

IsMaxAntichain

{α : Type u_1} → (α → α → Prop) → Set α → Prop

An antichain s is a maximal antichain if there does not exists an antichain strictly including s.

Defined in
Mathlib.Order.Antichain
Cited by
5 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsMaxAntichain.isAntichain · cited by 2IsMaxAntichain.isAntichainIsMaxAntichain.isEmpty_iff · cited by 1IsMaxAntichain.isEmpty_iffIsMaxAntichain.image · cited by 0IsMaxAntichain.imageIsMaxAntichain.nonempty_iff · cited by 0IsMaxAntichain.nonempty_i…IsMaxAntichain.symm · cited by 0IsMaxAntichain.symmSet · cited by 53352SetIsAntichain · cited by 105IsAntichainIsMaxAntichainCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • IsAntichainproof · cited by 105

Cited by5

Results whose statement or proof uses this declaration.